Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative

The main aim of this paper is to investigate the combination synchronization phenomena of various fractional-order systems using the scaling matrix. For this purpose, the combination synchronization is performed by considering two drive systems and one response system. We show that the combination s...

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Main Authors:	Abdelhameed M. Nagy, Abdellatif Ben Makhlouf, Abdulaziz Alsenafi, Fares Alazemi
Format:	article
Language:	EN
Published:	MDPI AG 2021
Subjects:	fractional-order systems Caputo–Hadamard derivative combination synchronization Mathematics QA1-939
Online Access:	https://doaj.org/article/8bb6481f5c2f4a1b94e8a7376bfcf143
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spelling	oai:doaj.org-article:8bb6481f5c2f4a1b94e8a7376bfcf1432021-11-11T18:19:22ZCombination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative10.3390/math92127812227-7390https://doaj.org/article/8bb6481f5c2f4a1b94e8a7376bfcf1432021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2781https://doaj.org/toc/2227-7390The main aim of this paper is to investigate the combination synchronization phenomena of various fractional-order systems using the scaling matrix. For this purpose, the combination synchronization is performed by considering two drive systems and one response system. We show that the combination synchronization phenomenon is achieved theoretically. Moreover, numerical simulations are carried out to confirm and validate the obtained theoretical results.Abdelhameed M. NagyAbdellatif Ben MakhloufAbdulaziz AlsenafiFares AlazemiMDPI AGarticlefractional-order systemsCaputo–Hadamard derivativecombination synchronizationMathematicsQA1-939ENMathematics, Vol 9, Iss 2781, p 2781 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	fractional-order systems Caputo–Hadamard derivative combination synchronization Mathematics QA1-939
spellingShingle	fractional-order systems Caputo–Hadamard derivative combination synchronization Mathematics QA1-939 Abdelhameed M. Nagy Abdellatif Ben Makhlouf Abdulaziz Alsenafi Fares Alazemi Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative
description	The main aim of this paper is to investigate the combination synchronization phenomena of various fractional-order systems using the scaling matrix. For this purpose, the combination synchronization is performed by considering two drive systems and one response system. We show that the combination synchronization phenomenon is achieved theoretically. Moreover, numerical simulations are carried out to confirm and validate the obtained theoretical results.
format	article
author	Abdelhameed M. Nagy Abdellatif Ben Makhlouf Abdulaziz Alsenafi Fares Alazemi
author_facet	Abdelhameed M. Nagy Abdellatif Ben Makhlouf Abdulaziz Alsenafi Fares Alazemi
author_sort	Abdelhameed M. Nagy
title	Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative
title_short	Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative
title_full	Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative
title_fullStr	Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative
title_full_unstemmed	Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative
title_sort	combination synchronization of fractional systems involving the caputo–hadamard derivative
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/8bb6481f5c2f4a1b94e8a7376bfcf143
work_keys_str_mv	AT abdelhameedmnagy combinationsynchronizationoffractionalsystemsinvolvingthecaputohadamardderivative AT abdellatifbenmakhlouf combinationsynchronizationoffractionalsystemsinvolvingthecaputohadamardderivative AT abdulazizalsenafi combinationsynchronizationoffractionalsystemsinvolvingthecaputohadamardderivative AT faresalazemi combinationsynchronizationoffractionalsystemsinvolvingthecaputohadamardderivative
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Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative

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